(a) In the figure given below, ABCD is a trapezium in which DC is parallel to AB. If AB = 9 cm, DC = 6 cm and BB = 12 cm., find
(i) BP
(ii) the ratio of areas of ∆APB and ∆DPC.
(b) In the figure given below, ∠ABC = ∠DAC and AB = 8 cm, AC = 4 cm, AD = 5 cm.
(i) Prove that ∆ACD is similar to ∆BCA
(ii) Find BC and CD
(iii) Find the area of ∆ACD : area of ∆ABC.
Solution:
More Solutions:
- In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE.
- The given figure, AB || DE. The length of CD is
- If ∆PQR ~ ∆ABC, PQ = 6 cm, AB = 8 cm and perimeter of ∆ABC is 36 cm.
- PQ || CA and all lengths are given in centimeters.
- The points on the sides AB and AC of a ∆ABC.
- If the areas of two similar triangles are in the ratio 4 : 9